Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 894, 480, 321, 399 i.e. 3 largest integer that divides all the numbers equally.
GCD of 894, 480, 321, 399 is 3
GCD(894, 480, 321, 399) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 480, 321, 399 is 3
GCD(894, 480, 321, 399) = 3
Given Input numbers are 894, 480, 321, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 894, 480, 321, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 480, 321, 399 is 3.
Therefore, GCD of numbers 894, 480, 321, 399 is 3
Given Input Data is 894, 480, 321, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 321 is 3 x 107
Prime Factorization of 399 is 3 x 7 x 19
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(894, 480) = 71520
GCD(894, 480) = ( 894 x 480 ) / 71520
GCD(894, 480) = 429120 / 71520
GCD(894, 480) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 321) = 642
GCD(6, 321) = ( 6 x 321 ) / 642
GCD(6, 321) = 1926 / 642
GCD(6, 321) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 399) = 399
GCD(3, 399) = ( 3 x 399 ) / 399
GCD(3, 399) = 1197 / 399
GCD(3, 399) = 3
GCD of 894, 480, 321, 399 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 480, 321, 399?
GCD of 894, 480, 321, 399 is 3
2. Where do I get the detailed procedure to find GCD of 894, 480, 321, 399?
You can find a detailed procedure to find GCD of 894, 480, 321, 399 on our page.
3. How to find GCD of 894, 480, 321, 399 on a calculator?
You can find the GCD of 894, 480, 321, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.